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Finding the Fourth Proportional to 29,049.62, 43,576.06 and 8,271.50

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Solution

The fourth proportional to 29,049.62, 43,576.06 and 8,271.50 is: 12,407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,049.62 : 43,576.06 = 8,271.50 : x
  2. Step 2: Convert to fraction form
    29,049.62/43,576.06 = 8,271.50/x
  3. Step 3: Cross multiply
    29,049.62x = 43,576.06 × 8,271.50
  4. Step 4: Simplify right side
    29,049.62x = 360,439,380.29
  5. Step 5: Solve for x
    x = 360,439,380.29/29,049.62
  6. Step 6: Final answer
    x = 12,407.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.